A vector is drawn with its tail at the origin of an xy coordinate system. In which quadrant does the vector point if the angle with respect to the positive direction of an x axis is -135°?

3, I got it thank you!

To determine the quadrant in which the vector points, we need to evaluate the angle of -135° with respect to the positive direction of the x-axis.

The x-axis is considered as the reference direction, and angles in the counterclockwise direction are positive.

-135° is an angle located in the third quadrant of the coordinate system. In the third quadrant, both the x and y coordinates are negative.

Therefore, if the angle with respect to the positive direction of the x-axis is -135°, the vector points toward the third quadrant.

To determine the quadrant in which the vector points, we need to understand the relationship between the angle and the quadrants of the coordinate system.

The positive direction of the x-axis is towards the right, and the positive direction of the y-axis is upwards. The coordinate system is divided into four quadrants:

1. Quadrant I: Positive x, positive y
2. Quadrant II: Negative x, positive y
3. Quadrant III: Negative x, negative y
4. Quadrant IV: Positive x, negative y

Now, let's find the quadrant for the given angle of -135°.

1. Start at the positive x-axis (in Quadrant I).
2. Move counterclockwise by 135° (-135°) from the positive x-axis.

Since the angle is negative, we move clockwise instead of counterclockwise. Moving clockwise by 135° will take us from Quadrant I towards Quadrant IV.

Therefore, the vector points in Quadrant IV.